165145572864 has 480 divisors, whose sum is σ = 525797775360. Its totient is φ = 49700044800.

The previous prime is 165145572829. The next prime is 165145572869. The reversal of 165145572864 is 468275541561.

165145572864 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 4 + 5 + 572 + 8 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 165145572864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165145572869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192701524 + ... + 192702380.

It is an arithmetic number, because the mean of its divisors is an integer number (1095412032).

Almost surely, 2^165145572864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165145572864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262898887680).

165145572864 is an abundant number, since it is smaller than the sum of its proper divisors (360652202496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165145572864 is a wasteful number, since it uses less digits than its factorization.

165145572864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 983 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The spelling of 165145572864 in words is "one hundred sixty-five billion, one hundred forty-five million, five hundred seventy-two thousand, eight hundred sixty-four".